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9014361948 = 2232379916829
BaseRepresentation
bin10000110010100110…
…00011111101011100
3212021020010000220100
420121103003331130
5121430134040243
64050253021100
7436245545424
oct103123037534
925236100810
109014361948
113906410609
1218b6a84790
13b0873b3a7
146172b3484
1537b5b70d3
hex2194c3f5c

9014361948 has 72 divisors (see below), whose sum is σ = 23429194880. Its totient is φ = 2920199040.

The previous prime is 9014361929. The next prime is 9014361959. The reversal of 9014361948 is 8491634109.

9014361948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1316598 + ... + 1323426.

Almost surely, 29014361948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9014361948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11714597440).

9014361948 is an abundant number, since it is smaller than the sum of its proper divisors (14414832932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9014361948 is a wasteful number, since it uses less digits than its factorization.

9014361948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7867 (or 7862 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9014361948 is about 94943.9937436803. The cubic root of 9014361948 is about 2081.1896815352.

The spelling of 9014361948 in words is "nine billion, fourteen million, three hundred sixty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 991 1332 1982 2973 3964 5946 6829 8919 11892 13658 17838 20487 27316 35676 36667 40974 61461 73334 81948 110001 122922 146668 220002 245844 252673 330003 440004 505346 660006 758019 1010692 1320012 1516038 2274057 3032076 4548114 6767539 9096228 13535078 20302617 27070156 40605234 60907851 81210468 121815702 243631404 250398943 500797886 751196829 1001595772 1502393658 2253590487 3004787316 4507180974 9014361948